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Finding the Fourth Proportional to 207,894.80, 311,404.80 and 172,902.80

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Solution

The fourth proportional to 207,894.80, 311,404.80 and 172,902.80 is: 258,990.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,894.80 : 311,404.80 = 172,902.80 : x
  2. Step 2: Convert to fraction form
    207,894.80/311,404.80 = 172,902.80/x
  3. Step 3: Cross multiply
    207,894.80x = 311,404.80 × 172,902.80
  4. Step 4: Simplify right side
    207,894.80x = 53,842,761,853.44
  5. Step 5: Solve for x
    x = 53,842,761,853.44/207,894.80
  6. Step 6: Final answer
    x = 258,990.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.